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October 9, 2025Open Access

Notes on the cohomology of partial Hessenberg varieties

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Authors

THTatsuya HoriguchiMMMikiya MasudaTSTakashi Satō

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Overview

This analysis reveals cohomological connections of Hessenberg varieties in partial flag varieties, suggesting new mathematical insights.

Key Points

  • Cohomological relationships are identified between partial Hessenberg varieties and their counterparts in full flag varieties.
  • The study illuminates connections to known varieties like Springer fibers and Peterson varieties.
  • New implications arise regarding hyperplane arrangements and the Stanley-Stembridge conjecture in graph theory.
  • The ongoing research reflects a wealth of interest in Hessenberg varieties, stemming from their rich mathematical structures.

Cite This Study

Horiguchi et al. (2025) studied this question.

synapsesocial.com/papers/68e70db790569dd607ee6773https://doi.org/10.48550/arxiv.2507.23259
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